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96686171136 = 21032412792
BaseRepresentation
bin101101000001011110…
…0011110010000000000
3100020120020002101122100
41122002330132100000
53041003124434021
6112230024110400
76661654615602
oct1320274362000
9306506071570
1096686171136
1138005906465
12168a4005400
13916b0c7b69
144972cc5172
1527ad354626
hex1682f1e400

96686171136 has 297 divisors, whose sum is σ = 289822609713. Its totient is φ = 31044648960.

The previous prime is 96686171077. The next prime is 96686171143. The reversal of 96686171136 is 63117168669.

The square root of 96686171136 is 310944.

It is a perfect power (a square), and thus also a powerful number.

96686171136 is a `hidden beast` number, since 9 + 6 + 6 + 8 + 617 + 1 + 13 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4658881536 + 92027289600 = 68256^2 + 303360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1223875545 + ... + 1223875623.

Almost surely, 296686171136 is an apocalyptic number.

96686171136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

96686171136 is the 310944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96686171136

96686171136 is an abundant number, since it is smaller than the sum of its proper divisors (193136438577).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96686171136 is an equidigital number, since it uses as much as digits as its factorization.

96686171136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 125 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 96686171136 in words is "ninety-six billion, six hundred eighty-six million, one hundred seventy-one thousand, one hundred thirty-six".